Pascal's triangle

Pascal's triangle
a triangular arrangement of the binomial coefficients of the expansion (x + y)n for positive integral values of n.
[named after PASCAL]

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Universalium. 2010.

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  • Pascal's triangle — The first six rows of Pascal s triangle In mathematics, Pascal s triangle is a triangular array of the binomial coefficients in a triangle. It is named after the French mathematician, Blaise Pascal. It is known as Pascal s triangle in much of the …   Wikipedia

  • Pascal's triangle — noun Date: 1886 a system of numbers arranged in rows resembling a triangle with each row consisting of the coefficients in the expansion of (a + b)n for n = 0, 1, 2, 3, … …   New Collegiate Dictionary

  • Pascal's triangle — noun A geometric representation of the binomial coefficients in a triangle, each entry being the sum of the two entries above …   Wiktionary

  • pascal's triangle — noun Usage: usually capitalized P Etymology: after Blaise Pascal : a system of numbers triangularly arranged in rows consisting of the coefficients in the expansion of (a + b)n for n .0,1,2,3, etc …   Useful english dictionary

  • Pascal's triangle — noun Mathematics a triangular array of numbers in which those at the ends of the rows are 1 and each of the others is the sum of the nearest two numbers in the row above (the apex, 1, being at the top) …   English new terms dictionary

  • Pascal's triangle — /pæskalz ˈtraɪæŋgəl/ (say paskahlz truyangguhl) noun a triangular figure with rows of numbers, each number being obtained by adding together the two numbers on either side of it in the row above. {named after Blaise Pascal1} …  

  • Triangle de pascal — Pour les articles homonymes, voir Pascal. En mathématiques, le triangle de Pascal, est un arrangement géométrique des coefficients binomiaux dans un triangle. À la ligne i et à la colonne j (0 ≤ j ≤ i) est placé le coefficient binomial . Il fut… …   Wikipédia en Français

  • Pascal (disambiguation) — Pascal or PASCAL may refer to:People* Pascal (name), a given name or surname * Blaise Pascal (1623–1662), French mathematician and philosopherFictional characters* Pascal, the main character in the film The Red Balloon * Pascal, a character in… …   Wikipedia

  • Triangle de Pascal — Pour les articles homonymes, voir Pascal. Premières lignes du triangle de Pascal. En mathématiques, le triangle de Pascal, est une présentation des coeffici …   Wikipédia en Français

  • Pascal's pyramid — In mathematics, Pascal s pyramid is a three dimensional generalization of Pascal s triangle. Just as Pascal s triangle gives coefficients for the terms of a binomial expansion, so Pascal s pyramid gives coefficients for a trinomial expansion.… …   Wikipedia

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